GCD of 355, 710, 930, 831 Calculator

Given Input numbers are 355, 710, 930, 831

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 355, 710, 930, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 710, 930, 831 is 1.

Therefore, GCD of numbers 355, 710, 930, 831 is 1

Given Input Data is 355, 710, 930, 831

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 355 is 5 x 71

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 831 is 3 x 277

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(355, 710) = 710

GCD(355, 710) = ( 355 x 710 ) / 710

GCD(355, 710) = 252050 / 710

GCD(355, 710) = 355

Step2:

Here we consider the GCD from the above i.e. 355 as first number and the next as 930

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(355, 930) = 66030

GCD(355, 930) = ( 355 x 930 ) / 66030

GCD(355, 930) = 330150 / 66030

GCD(355, 930) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 831

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 831) = 4155

GCD(5, 831) = ( 5 x 831 ) / 4155

GCD(5, 831) = 4155 / 4155

GCD(5, 831) = 1

GCD of 355, 710, 930, 831 is 1

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1. What is the GCD of 355, 710, 930, 831?

GCD of 355, 710, 930, 831 is 1

2. Where do I get the detailed procedure to find GCD of 355, 710, 930, 831?

You can find a detailed procedure to find GCD of 355, 710, 930, 831 on our page.

3. How to find GCD of 355, 710, 930, 831 on a calculator?

You can find the GCD of 355, 710, 930, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.